3381864 has 64 divisors (see below), whose sum is σ = 9028800. Its totient is φ = 1053696.

The previous prime is 3381841. The next prime is 3381881. The reversal of 3381864 is 4681833.

3381864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3381864² = 22874008228992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29872 + ... + 29984.

It is an arithmetic number, because the mean of its divisors is an integer number (141075).

Almost surely, 2^3381864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514400).

3381864 is an abundant number, since it is smaller than the sum of its proper divisors (5646936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3381864 is a wasteful number, since it uses less digits than its factorization.

3381864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3381864 is about 1838.9845023817. The cubic root of 3381864 is about 150.1016200291.

The spelling of 3381864 in words is "three million, three hundred eighty-one thousand, eight hundred sixty-four".